iCoachMath.com: Examples on The Product and Quotient Rules - Computation of Derivatives

Curriculum: Idaho Content Standards Click to change Curriculum

Topic: Computation of Derivatives Click to change Topic

Lesson: The Product and Quotient Rules Click to change Lesson

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e If y = (5t² + 6)(5t³ - 5t), then find y′. e

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e If y = (8t)(5t³ - 4t²), then what is y′ ?
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e If y = 4x34(4x + 3) , then find y′.
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e If y = 3x-35(5x² + 2), then y′ =
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e If y = x + 5x - 2, then find y ′. e

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e If f(x) = 5xx2+5 , then find f ′ (x). e

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e If g(x) = - 2x23x + 2, then what is g′ (x)?
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e If y = x-3x + 8, then find y′. e

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e If y = x2 - 3x + 3x - 3, then y′ = ?
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e If y = 2x3x + 4, then find y ′.
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e If y = 2x(2x - 3)³, then y′ = ? e

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e If f(x) = 24+xx+4, then find f ′ (1).
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e If y = 3x e3x, then find dydx.
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e If f(u) = 4u2-4u4u+9, then f ′(u)
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e If g(t) = 2t3+7t-27t-2, then g′(t)
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e If y = 6xe6x, then y′ = ? e

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e If y = - 4 x2e- 6x, then find y′.
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e If y = ln(6x)3x2-3, then find y′.
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e If y = 6x2+2x-7x-6, then y′ = ? e

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e If y = 9x2-5x-9x + 9, then y′ = ? e

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e Find D_x(x+5x-2). e

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e If y = ln(9x+3)x2+9x, then dydx is e

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e Find the derivative of e2x ln 2x with respect to x.
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e Find D_x (6x +x1 - x).
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e If y = x-65x, then find dydx.
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e If P(x) = 8x2x - 4, then P′ (x) = ? e

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e If a function is defined by T(x) = 3000+20xx + 3, then T ′(x) = ?
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e If y = 3x² sin 2x , then find dydx.
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e If y = e3x cos 4x, then dydx = ? e

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e If y = (3x² + 4x + 9) tan 4x, then find dydx. e

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e Find the derivative of 5xcot 2x with respect to x e

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e Find the derivative of 4x( e3x + e-3x) with respect to x
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e If y = 2x e6x sin 3x, then find dydx.
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e If y = ln 8x3x, then find dydx e

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e If y = 2x 4x ln 4x, then what is dydx?
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e If y = 2sec 6x2x, then find dydx
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e If y = e7x5x2, then dydx = ?
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e If y = x2 - 5x + 5x - 5, then y′ = ?
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e If y = cos 2xln 9x, then dydx = ?
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e If y = (7t)(4t³ - 4t²), then what is y′ ?
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e If y = x + 6x - 4, then find y ′. e

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e If y = (4t² + 8)(4t³ - 4t), then find y′. e

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e If y = 5x34(9x + 3) , then find y′.
e

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e If y = cos 3xln 4x, then dydx = ?
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e ddx(4x2log 2x) =
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e choose f ′ (x) from the following if x = cos13xcos 13x e

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e If y = 2x-35(3x² + 3), then y′ =
e

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e If f (x) = 1- tan 2x1 + tan 2x, then choose f ′ (x) from the following.
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e If y = 6x3x + 5, then find y ′.
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e If f(x) = 7xx2+7 , then find f ′ (x). e

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e If g(x) = - 2x24x + 2, then what is g′ (x)?
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e If y = x-3x + 5, then find y′. e

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e If y = 8x(5x - 6)³, then y′ = ? e

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e If f(u) = 5u2-6u6u+6, then f ′(u)
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e If g(t) = 3t3+7t-37t-3, then g′(t)
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e Find the derivative of 9xcot 2x with respect to x e

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e Find the derivative of e2x ln 4x with respect to x.
e

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e If f x = 8x³sin 4x, then find f ′ (x).
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e If f (x) = sin 5xlog 6x, then find f ′ (x). e

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e If y = 4xe3x, then y′ = ? e

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e Find the derivative of e^3x cot 5x with respect to x.
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e If y = - 3 x2e- 8x, then find y′.
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e If y = ln(3x)4x2-4, then find y′.
e

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e If y = 2x2+5x-6x-2, then y′ = ? e

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e If y = 4x2-4x-7x + 4, then y′ = ? e

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e Find D_x(x+9x-5). e

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e If y = ln(8x+5)x2+8x, then dydx is e

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e Find D_x (7x +x1 - x).
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e If f(x) = 63+xx+2, then find f ′ (1).
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e If y = 9x e5x, then find dydx.
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e If y = x-35x, then find dydx.
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e If P(x) = 9x2x - 3, then P′ (x) = ? e

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e If a function is defined by T(x) = 2000+40xx + 2, then T ′(x) = ?
e

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e If y = 2x² sin 3x , then find dydx.
e

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e If y = e9x cos 4x, then dydx = ? e

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e If y = ln 4x2x, then find dydx e

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e If y = (8x² + 2x + 9) tan 2x, then find dydx. e

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e Find the derivative of 4x( e4x + e-4x) with respect to x
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e If y = 8x e2x sin 4x, then find dydx.
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e If y = 4x 8x ln 6x, then what is dydx?
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e If y = 5sec 5x3x, then find dydx
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e If f x = (2x+7)(5x+2), then find f ′ (x).
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e ddx(7xsin 3x) = e

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e If f (x) = sin 3x5+cos 2x
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e If f (x) = 3^x sin 5x, then find f ′ x.
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e Find dydx, if y = 2x e^5x cos 5x. e

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e Finf f ′ (x), if f(x) = 2x²a^xsin 2x. e

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e If y = 4x2ln 3x, then find f ′ (x). e

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e If f (x) = 3ax4x, then choose f ′ (x) from the following. e

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e If f (x) = e^-3xsin 4x, then find f ′ (x). e

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e Find the derivative of f (x) = a - bcos 5xa + bcos 5x with respest to x.
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e Find the derivative of f (x) = a + bsin 6xa - bsin 6x with respect to x. e

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e If f (x) = acos 4x bsin 5x, then find f ′ (x). e

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ccc Find the derivative of f (x) = sin 4x sin 5x with respect to x.
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ccc If f (x) = cos 4xcos 6x, then choose f ′ (x) from the following. ccc

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ccc If y = e2x5x2, then dydx = ?
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ccc ddx(sin44x cos 44x) =
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ccc If f (x) = 1 + cot 7x1- cot 7x, then find f ′ (x).
ccc

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